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About: Belevitch's theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatCircuitTheoremsyago:WikicatTwo-portNetworksyago:Abstraction100002137yago:Communication100033020yago:Group100031264yago:Message106598915yago:Network108434259yago:Proposition106750804yago:Statement106722453yago:System108435388yago:Theorem106752293 New Facet based on Instances of this Class

Belevitch's theorem is a theorem in electrical network analysis due to the Russo-Belgian mathematician Vitold Belevitch (1921–1999). The theorem provides a test for a given S-matrix to determine whether or not it can be constructed as a lossless rational two-port network. Lossless implies that the network contains only inductances and capacitances – no resistances. Rational (meaning the driving point impedance Z(p) is a rational function of p) implies that the network consists solely of discrete elements (inductors and capacitors only – no distributed elements).